Respuesta :
x² + 4x = 27
x² + 4x + 2² = 27 + 2²
(x + 2)² = 27 + 4
(x + 2)² = 31
Answer: (x + 2)² = 31 (Answer C)
x² + 4x + 2² = 27 + 2²
(x + 2)² = 27 + 4
(x + 2)² = 31
Answer: (x + 2)² = 31 (Answer C)
Equation which completes square for the given equation is equals to [tex](x+2)^{2}=31[/tex].
What is equation ?
" Equation is defined as the relation between the variables using sign of equality."
According to the question,
Given equation,
[tex]x^{2} +4x =27[/tex]
To make the equation perfect square add 4 both the side we get,
[tex]x^{2} +4x +4 =27+4\\\\\implies (x+2)^{2} =31[/tex]
Hence, Option (C) is the correct answer.
Learn more about equation here
https://brainly.com/question/10413253
#SPJ2
